Trigonometric+Identitites+2C-1

__Trigonometric Identities__
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 * The three sides of a right triangle* are labeled like this:**

**Hypotenuse:** The side opposite the right angle, it is the longest side.

**Adjacent:** The short side that is attached to the given angle of the triangle.

**Opposite:** The side that is not attached to the given angle of the triangle.
 * The opposite and adjacent sides change depending on the given angle, while the hypotenuse is always opposite the right angle.**

__ SOHCAHTOA __
These labels are used in equations that find the ratios or numerical relationships between the sides and the angles of the right triangle. Those equations are commonly referred to as SOHCAHTOA. This string of letters can be broken up into three different equations: SOH, CAH, TOA, and put into the forms of the first letter equals second letter divided by the third letter.

For example: SOH really means: Sine = Opposite/ Hypotenuse. CAH really means: Cosine = Adjacent/ Hypotenuse. TOA really means: Tan = Opposite / Adjacent.

__**Examples**__

 * 1.** Assume that the hypotenuse = 13, opposite = 5, adjacent = 12. Find these values for Angle A:

||= Solution || math Sin A = \frac{opposite}{hypotenuse} = \frac{5}{13} math || math Cos A = \frac{adjacent} {hypotenuse}= \frac{12}{13} math || math Cos A = \frac{opposite}{adjacent}= \frac{5}{12} math ||
 * = Problem #1
 * = **a.** Sin A ||= SOH
 * = **b.** Cos A ||= CAH
 * = **c.** Tan A ||= TOA

__ Further Discussion __

 * Where did Sine, Cosine, and Tangent come from?
 * What is the value in knowing about trigonometric identities?